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44268085 = 5172412161
BaseRepresentation
bin1010100011011…
…1101000110101
310002022001101201
42220313220311
542313034320
64220452501
71045162321
oct250675065
9102261351
1044268085
1122a962a4
12129aa131
13922c444
145c44981
153d4670a
hex2a37a35

44268085 has 16 divisors (see below), whose sum is σ = 56506032. Its totient is φ = 33177600.

The previous prime is 44268083. The next prime is 44268097. The reversal of 44268085 is 58086244.

44268085 = T5431 + T5432 + T5433.

It can be written as a sum of positive squares in 8 ways, for example, as 3218436 + 41049649 = 1794^2 + 6407^2 .

It is not a de Polignac number, because 44268085 - 21 = 44268083 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44268083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19405 + ... + 21565.

It is an arithmetic number, because the mean of its divisors is an integer number (3531627).

Almost surely, 244268085 is an apocalyptic number.

44268085 is the 5433-rd centered triangular number.

It is an amenable number.

44268085 is a deficient number, since it is larger than the sum of its proper divisors (12237947).

44268085 is a wasteful number, since it uses less digits than its factorization.

44268085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424.

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 44268085 is about 6653.4265608031. The cubic root of 44268085 is about 353.7503772882.

The spelling of 44268085 in words is "forty-four million, two hundred sixty-eight thousand, eighty-five".

Divisors: 1 5 17 85 241 1205 2161 4097 10805 20485 36737 183685 520801 2604005 8853617 44268085